Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
DISINTEGRATION OF OPERATOR VALUED WEIGHTS
Ryo IchiharaSatoshi Kawakami
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ジャーナル フリー

2008 年 68 巻 1 号 p. 81-87

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抄録
The present paper is devoted to giving the existence and uniqueness theorem on disintegrations of operator valued weights by applying Sutherland’s theorem on disintegrations of weights on a von Neumann algebra. To do so, we study the measurability and the integration of a field of operator valued weights. The results obtained here are expected to be useful for discussing reductions of inclusion relations of von Neumann subalgebras.
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© 2008 International Society for Mathematical Sciences
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